Positive solutions for a scalar differential equation with several delays

被引：6

作者：

Berezansky, Leonid ^{[2
]}

Braverman, Elena ^{[1
]}

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

[2] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

来源：

APPLIED MATHEMATICS LETTERS | 2008年 / 21卷 / 06期

关键词：

linear delay equations; several delays; positive solutions; nonoscillation;

D O I：

10.1016/j.aml.2007.07.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a scalar delay differential equation x(t) + Sigma(m)(k=1) a(k)(t)x(h(k)(t)) = 0, h(k)(t) <= t, we obtain new explicit conditions for the existence of a positive solution. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：636 / 640

页数：5

共 5 条

[1]

[Anonymous], GEORGIAN MATH J

[2]

Berezansky L., 1997, DYNAMIC SYSTEMS APPL, V6, P567

[3] Explicit exponential stability conditions for linear differential equations with several delays [J].

Berezansky, Leonid ;

Braverman, Elena .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (01) :246-264

[4] On exponential stability of linear differential equations with several delays [J].

Berezansky, Leonid ;

Braverman, Elena .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (02) :1336-1355

[5]

Gy??ri I., 1991, OSCILLATION THEORY D

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